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Quantization and Non-holomorphic Modular Forms - André Unterberger

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2000-08-28
47,37 € 67,67 €

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This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantizatio ... Pilns apraksts

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This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2,Z).

Vairāk informācijas

Autors André Unterberger
Izdevējs Springer Berlin Heidelberg
Series Lecture Notes in Mathematics
Izlaides gads 2000
Vāka tips Mīkstais vāks
EAN 9783540678618
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47,37 € 67,67 €